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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Preserving Taxonomic Change and Subsequent Taxon Relationships over Time</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Andreas Kohlbecker</string-name>
          <email>a.kohlbecker@bgbm.org</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Naouel Karam</string-name>
          <email>naouel.karam@fokus.fraunhofer.de</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Adrian Paschke</string-name>
          <email>adrian.paschke@fokus.fraunhofer.de</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Anton Güntsch</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="editor">
          <string-name>Taxonomic Change, Taxon Relationships, Biodiversity, Linked Open Data, Semantics, Taxonomy, Taxo-</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Biodiversity Informatics, Botanic Garden and Botanical Museum Berlin, Freie Universität Berlin</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Fraunhofer FOKUS</institution>
          ,
          <addr-line>Kaiserin-Augusta-Allee 31, 10589 Berlin</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Institute for Applied Informatics (InfAI), University of Leipzig</institution>
          ,
          <addr-line>Goerdelerring 9, 04109 Leipzig</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Biodiversity research data often reference individual organisms, populations, or other taxonomic contexts by using scientific names. Scientific names, however, are unstable, ambiguous, and no precise identifier for the specific taxonomic concept that has been used implicitly. Using identifiers for taxonomic concepts instead does not fully solve the inherent semantic problems, since taxon concepts may evolve over time, therefore preserving and representing their relationships is critical for any subsequent analysis. We propose a model to represent and preserve the taxonomic change as Linked Data. The approach aims additionally at preserving the semantic relationships between the resulting taxon concepts as well as the temporal sequence of changes. Our model describes taxon relations as set-theoretical relations and thus makes use of the underlying semantics to enable automatic reasoning over the knowledge base.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The rapidly increasing global change causes a dramatic impact on ecosystems, and thus demands
regular and timely assessments on the status and trends of biodiversity and ecosystem services,
and their interlinkages at the local and global level. One of the keys to understanding the
transformation of ecosystems is biodiversity research data. Vast amounts of these data have been
made available on the Internet, but sources are disparate and data formats are heterogeneous.</p>
      <p>Infrastructure projects like NFDI4Biodiversity [1] are dedicated to facilitating the integration,
use, and exchanging of biodiversity data. NFDI4Biodiversity’s goal is to make the variety of
biodiversity data from a multitude of sources available via unified interfaces. This involves
mapping diferent data schemes to each other or to a common scheme. This however only
covers the technical level, at the same time data also needs to be mapped semantically.</p>
      <p>For example, an observation of a species in Germany from 1989 refers to a narrower
geographical area than an observation of the same species in 1991 that refers to Germany as well.
The latter observation is dated to the period after German reunification and thus refers to a
broader area. Both usages of the term ”Germany” need to be related to each other to express
that the one is a sub-region of the other. Practically this can be done by providing a terminology
backbone in which all semantic relationships are expressed that are relevant for the expected
use-cases.</p>
      <p>Biodiversity research data mostly are related to a species or subspecies, which are represented
by the respective scientific name. A name that taxonomists have given to a group of organisms
sharing common characteristics and which in their entirety can be defined as a species, or
another unit of classification at a diferent rank. A species, circumscribed by means of a set of
descriptive values that distinguish it from other species is a taxonomic concept tagged with
a scientific name. Changing knowledge and insight into the individual organisms and their
characteristics that form a taxon concept may modify the set of individual organisms that are
covered by that concept, that is its circumscription [2]. A taxon concept can become broader or
narrower causing more or fewer individuals to be enclosed in the set. Upon that, a new taxon
concept emerge while the scientific name remains the same. Taxon concepts bearing the same
name can be overlapping, congruent, included, or conversely, even completely distinct. Even
completely diferent names may refer to exactly the same taxon concept (Fig. 1).</p>
      <p>Hence, biodiversity data labeled with the same scientific name do not necessarily refer to
the same taxon concept. For a complete semantic mapping of biodiversity data the following
requirements have to be fulfilled:
1. stable and reliable taxon concepts, whereas each taxon concept is assigned with a
persistent identifier.
2. Names used in biodiversity data need to be related to their taxon concepts that have
originally been used, when the data has been created. This is done by annotating data sets
with the taxon concept identifiers. Preferably this is done at creation time, or afterwards
as in most cases.</p>
      <p>3. The relationships between taxon concepts need to be expressed semantically.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Context and Motivation</title>
      <p>Data networks like NFDI4BioDiversity aim at accumulating huge amounts of environmental
data sets from heterogeneous resources and thus create a data space in which taxon concepts
from multiple checklists of a wide range of diferent time periods are referred to. In order
to apply inference on these data, it is essential to have knowledge of the relationships of the
taxon concepts being involved. Without this knowledge, it impossible for example to correctly
assemble all data sets from heterogeneous sources which refer to the same taxon concept.
Therefore it should be possible to express the taxonomic relations between all taxon concepts
and their change over time in each relevant checklist and between checklists.</p>
      <p>In previous works, several approaches to semantically model taxon concept relationships
have been published. While Franz et. al [3] discuss the general importance of using taxon
concepts and to express their relationships for data integration in taxonomy, phylogenetics, and
biodiversity research, Michel et. al [4] propose a model to express the relations between taxon
concepts and scientific names of diferent checklists. Among other reasons, their approach
has shortcomings for the use case of data networks like NFDI4BioDiverity, since the temporal
aspect of taxonomic changes cannot be expressed. The Linked Taxonomic Knowledge (LTK)
model by Chawuthai et al. [5], which we will discuss in more details below, is suficient in terms
of representing the historical dimension of the taxon concept evolution.</p>
      <p>Figure 1 shows the timeline for the reclassification of the Baltimore oriole (Icterus galbula
Linnaeus, 1758) and the Bullock’s oriole (Icterus bullockii Swainson, 1827). In 1964, Sibley and
Short argued that these two species should be merged into a single one [6]. In 1995, DNA
sequencing of the two species led to the splitting of Icterus galbula into Icterus galbula and
Icterus bullockii again [7]. As a consequence, data recorded between 1964 and 1995 about
Icterus galbula may contain useful information about Icterus bullockii, yet a search for Icterus
bullockii will not lead to any records in this interval.</p>
      <p>
        In order to preserve the taxonomic change information, we need to keep track of the temporal
aspect of the change as well as the implications in terms of extensional definitions. The
taxonomic concept of the species Icterus galbula from 1964 includes instances of Icterus bullockii
and thus is more general than the Icterus galbula from 1995. Our model should in consequence
be able to: (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ) diferentiate between the two taxon concepts, (2) keep track of taxonomic changes
including provenance and temporal aspects and (3) preserve the semantic relation between
diferent versions of the same concept and to other related concepts.
      </p>
      <p>For the first objective, we plan to assign persistent HTTP identifiers to multiple taxonomic
concepts of the same scientific name as this complies with the principles of Linked Data [ 8].
Additionally, we follow the naming recommendation proposed by Berendsohn [9] for labeling
diferent taxon concepts, which consists on following the full Linnaean name by the term sec.
(from the latin secundum) and the specific author and publication. Our taxon concept from 1964
will be named Icterus galbula Linnaeus, 1758 sec. Sibley &amp; Short (1964).</p>
    </sec>
    <sec id="sec-3">
      <title>3. Representing Taxonomic Change for Linked Data</title>
      <p>A logical model named Linked Taxonomic Knowledge (LTK) for preserving and presenting the
change in taxonomic knowledge has been introduced in [5]. The model is based on an ontology
of contextual knowledge evolution for representing historical information about taxa and
preserving background knowledge of the change. The model covers changes in nomenclature
(rename, synonym and homonym), taxon concept (merging, splitting, change in circumscription)
and relationship (change in higher taxon). Based on the LTK model, the merge event ex:event1
of Icterus galbula and Icterus bullockii in 1964 will be described as depicted in figure 2.</p>
      <p>The merge operation ex:merge1 is assigned the relationships cka:conceptBefore and
cka:conceptAfter , relating it to the concepts to be merged and the resulting concept. The event interval
is identified by giving a begin and eventually an end time point.</p>
    </sec>
    <sec id="sec-4">
      <title>4. A Model for Representing Taxon Relationships</title>
      <p>Once diferent usages of a name are assigned to their unique taxon concepts, we need to
reconnect them and model semantic relationships between them. Five basic set-theoretic
relationships, as depicted in figure 3, are fundamental for the description of the connection
between two taxonomic concepts [10]: A and B are congruent (A ≡ B), A is included in B (A ⊂
B), A includes B ( A ⊃ B), A and B overlap (A ⊕ B) and finally, A and B exclude each other (A
! B). To maximize the expressiveness, these oriented relations should be considered as being
mutually exclusive. That is subset relationships should be used exclusively as proper subsets.
When A ⊂ B we can conclude that B ⊃ A, therefore the set of relationships required to describe
the set-theoretic connection of taxon concepts can be limited to these four: ≡, ⊂, ⊕, !.</p>
      <p>In our example, we would represent the fact that Icterus galbula Linnaeus, 1758 sec. Sibley &amp;
Short (1964) is more general than Icterus galbula Linnaeus, 1758 using the inclusion relationship.</p>
      <p>We propose to model the relations using description logics (DL) [11] logical axioms. Each
relationship is modeled using a DL axiom which interpretation corresponds to its underlying
meaning in set theory as follows :
• Congruence: A and B are equivalent (C ≡ D);
• Inclusion: A is subsumed by B (A ⊑ B); or A subsumes B (A ⊒ B);
• Exclusion: A and B are disjoint (C ⊓ D ≡ ⊥);
where ⊥ is the bottom concept and is interpreted as an empty set. Due to the open world
assumption, two concepts are presumed to be overlapping unless explicitly stated to be disjoint.</p>
      <sec id="sec-4-1">
        <title>Basic relation</title>
        <p>A and B are congruent
A ≡ B x∈ A ⇔ x∈ B
A is included in B
A ⊂ B x∈ A ⇒ x∈ B, ∃y∈ B | y∉ A
A includes B
A ⊃ B x∈ B ⇒ x∈ A, ∃y∈ A | y∉ B
A and B overlap each other
A ⊕ B ∃x∈ A | x∉ B, ∃y∈ B | y∉ A, ∃z∈ A | z∈ B
A and B exclude each other
A ! B x∈ A ⇒ x∉ B</p>
      </sec>
      <sec id="sec-4-2">
        <title>Representation</title>
        <p>
          Using axioms (
          <xref ref-type="bibr" rid="ref1">1</xref>
          ) and (2) below, we can model the relationships between our Icterus species
taxon concepts. Going a step further, we can model the merge between the two species as the
union of the two sets using axiom (3). Finally, we represent the two original species as disjoint
using axiom (4).
        </p>
        <p>
          Icterus_galbula_Linnaeus_1758 ⊑ Icterus_galbula_Linnaeus_1758_SibleyShort_1964 (
          <xref ref-type="bibr" rid="ref1">1</xref>
          )
Icterus_bullockii_Swainson_1827 ⊑ Icterus_galbula_Linnaeus_1758_SibleyShort_1964 (2)
Icterus_galbula_Linnaeus_1758_SibleyShort_1964 ≡ Icterus_galbula_Linnaeus_1758 ⊔ (3)
Icterus_bullockii_Swainson_1827
        </p>
        <p>Icterus_galbula_Linnaeus_1758 ⊓ Icterus_bullockii_Swainson_1827 ≡ ⟂ (4)</p>
        <p>We represent those axioms as triples in an OWL format. The following RDF statements
describe the axioms introduced above.</p>
        <p>species:Icterus_galbula_Linnaeus_1758
rdfs:subClassOf species:Icterus_galbula_Linnaeus_1758_SibleyShort_1964 ;
rdfs:label ”Icterus galbulaLinnaeus, 1758” .
species:Icterus_bullockii_Swainson_1827
rdfs:subClassOf species:Icterus_galbula_Linnaeus_1758_SibleyShort_1964 ;
rdfs:label ”Icterus bullockii Swainson, 1827” .
species:Icterus_galbula_Linnaeus_1758_SibleyShort_1964
owl:equivalentClass [ rdf:type owl:Class ;
owl:unionOf ( species:Icterus_galbula_Linnaeus_1758</p>
        <p>species:Icterus_bullockii_Swainson_1827
)
] ;
rdfs:label ”Icterus galbula Linnaeus, 1758 sec. Sibley &amp; Short (1964)” .
species:Icterus_galbula_Linnaeus_1758</p>
        <p>owl:disjointWith species:Icterus_bullockii_Swainson_1827.</p>
        <p>Once relationships triples are added to the knowledge base, it is possible to use such
information for data access and analysis. For instance, a search for Icterus bellucki can lead now
to data annotated with I c t e r u s _ g a l b u l a _ L i n n a e u s _ 1 7 5 8 _ S i b l e y S h o r t _ 1 9 6 4 , as the information
about the species inclusion has been encoded in the knowledge base.</p>
        <p>Such triples can be derived from the event-centric model described in Section 3, using rules.
For instance, a rule for the ex:merge1 in Figure 2, that can infer an inclusion relationship
between the cka:conceptBefore and the cka:conceptAfter would be defined as follows:
[rule_merge:
(?operation rdf:type ltk:TaxonMerger),
(?operation cka:conceptBefore ?conceptBefore),
(?operation cka:conceptAfter ?conceptAfter)
-&gt; (?conceptBefore rdfs:subClassOf ?conceptAfter)</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Discussion</title>
      <p>Our approach extends the Linked Taxonomic Knowledge (LTK) model [5] by explicitly
expressing the set-theoretic relations that are implicit to data modeled through LTK. Depending on
specific use-cases, inferring these implicit taxon relations on demand can be appropriate. For
data networks like NFDI4BioDiversity, this information will be requested quite frequently, so
that inference on demand may become too costly in terms of time and computing resources.
Therefore it will be important to model these relations explicitly to avoid that computing
overhead. As the LTK model is based on information of taxonomic changes it can express the
historic dimension in one checklist, or of checklists that are historically connected by derivation.</p>
      <p>In data infrastructures like NDFI4BioDiversity, it is needed to map taxon concepts of multiple
checklists onto each other, which are otherwise completely disconnected. As their relations are
not the result of changes in taxonomic knowledge, it is not possible to express them in LTK.
The Set-theoretic taxon relations expressed in OWL are thus an appropriate method to model
the connections between checklists.</p>
      <p>Background information on taxon concepts is often sparse and insuficient to determine the
type of concept relations between taxon concepts of diferent checklists with absolute confidence.
Therefore, the set-theoretic taxon relationships will often be tainted with uncertainty, which
needs to be expressed in addition. This is only one of the challenges on the way to an information
space that allows eficient inference across related taxonomic concepts.
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